Makes me remember back when Wrath of the Lich King came out. Was at a midnight release at Gamestop, and it was just insanely crowded with people waiting for the game. People in costumes, riding cardboard kodo's and whatnot. At that time, the girl who was maybe 3 spots ahead of me in line had a horde tattoo on her right arm and an alliance one on her left. Sure thought that was awesome (though what's up with sporting that alliance filth..!)
On-topic, that does indeed look around 6/10 arcane intellect. Pretty nice mate. Have you thought about getting one to match with her? Say, a mark of the wild lookalike.

Here's what the Kirin Tor logo looks like
Arcane Intellect's icon is similar, but in the lore I don't think they've ever explained what was with the eye and lines

But the icon for Arcane Intellect actually came from Magic Sentry in Warcraft 3, which was a passive ability that revealed all nearby invisible units. It was used in the upgraded human towers, and during some campaign levels. So that explains the eye, the 2 lightning could just be because magic and an artist had fun with the icon. So they reused that asset for WoW; Arcane Intellect was probably the only place they could put it that made sense.